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Finding the Fourth Proportional to 1,441.78, 1,988.85 and 975.22

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Solution

The fourth proportional to 1,441.78, 1,988.85 and 975.22 is: 1,345.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,441.78 : 1,988.85 = 975.22 : x
  2. Step 2: Convert to fraction form
    1,441.78/1,988.85 = 975.22/x
  3. Step 3: Cross multiply
    1,441.78x = 1,988.85 × 975.22
  4. Step 4: Simplify right side
    1,441.78x = 1,939,566.30
  5. Step 5: Solve for x
    x = 1,939,566.30/1,441.78
  6. Step 6: Final answer
    x = 1,345.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.